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Simplifying 21 + 20x + 15 = 19x + -14x + 6 Reorder the terms: 21 + 15 + 20x = 19x + -14x + 6 Combine like terms: 21 + 15 = 36 36 + 20x = 19x + -14x + 6 Reorder the terms: 36 + 20x = 6 + 19x + -14x Combine like terms: 19x + -14x = 5x 36 + 20x = 6 + 5x Solving 36 + 20x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 36 + 20x + -5x = 6 + 5x + -5x Combine like terms: 20x + -5x = 15x 36 + 15x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 15x = 6 + 0 36 + 15x = 6 Add '-36' to each side of the equation. 36 + -36 + 15x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 15x = 6 + -36 15x = 6 + -36 Combine like terms: 6 + -36 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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